A simply supported beam with span of 8m is subjected to a counter clockwise moment at the left support and a clockwise moment at the right equal to 25% of the moment at the left support, both acting in the plane of the minor axis of the beam. The beam is not restrained against lateral buckling. The beam is A36 steel with yield strength Fy = 248 MPa. The beam is a W 21 x 62 steel shape, whose relevant properties are: R₁ = 0.053 m d = 0.533 m bf = 0.210 m tf = 0.016 m S=0.002077 m³ a) Determine the slenderness ratio, above which the beam is long with respect to lateral buckling. b) Determine the allowable flexural stress in the compression flange. c) Determine the maximum value of the moment at the left support.
A simply supported beam with span of 8m is subjected to a counter clockwise moment at the left support and a clockwise moment at the right equal to 25% of the moment at the left support, both acting in the plane of the minor axis of the beam. The beam is not restrained against lateral buckling. The beam is A36 steel with yield strength Fy = 248 MPa. The beam is a W 21 x 62 steel shape, whose relevant properties are: R₁ = 0.053 m d = 0.533 m bf = 0.210 m tf = 0.016 m S=0.002077 m³ a) Determine the slenderness ratio, above which the beam is long with respect to lateral buckling. b) Determine the allowable flexural stress in the compression flange. c) Determine the maximum value of the moment at the left support.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Topic: BEAM BEARING PLATES AND COLUMN BASE PLATES - STEEL DESIGN
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Transcribed Image Text:SAMPLE PROBLEM 3:
USE LRFD
A simply supported beam with span of 8m is subjected to a counter clockwise moment at the left
support and a clockwise moment at the right equal to 25% of the moment at the left support, both
acting in the plane of the minor axis of the beam. The beam is not restrained against lateral
buckling. The beam is A36 steel with yield strength Fy = 248 MPa. The beam is a W 21 x 62
steel shape, whose relevant properties are:
R₁ = 0.053 m
d = 0.533 m
bf = 0.210 m
tf = 0.016 m
S=0.002077 m³
a) Determine the slenderness ratio, above which the beam is long with respect to lateral
buckling.
b) Determine the allowable flexural stress in the compression flange.
c) Determine the maximum value of the moment at the left support.
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